Benchmark Solution for Free Vibration of Moderately Thick Functionally Graded Sandwich Sector Plates on Two-Parameter Elastic Foundation with General Boundary Conditions

Table 12

Fundamental frequency parameter for Type 2-2 circular sector plate with various boundary conditions ( = 0.2, , and = 350°).

Scheme		Boundary conditions
		CCC	CSDC	CFC	SSS	CE^1E^1	E^2SE^2	E^1E^1E^1	E^2E^2E^2	E^3E^3E^3
0-1-1	0.5	29.907	20.840	4.640	19.172	15.254	20.389	12.621	27.916	12.377
	5	24.600	16.933	3.734	15.548	14.713	16.692	12.413	23.527	12.190
	20	23.758	16.341	3.604	15.003	14.621	16.128	12.371	22.804	12.155
1-1-1	0.5	24.421	16.819	3.712	15.444	14.711	16.585	12.427	23.377	12.206
	5	23.029	15.914	3.530	14.622	14.616	15.729	12.446	22.189	12.238
	20	22.861	15.832	3.520	14.553	14.619	15.654	12.476	22.046	12.270
2-2-1	0.5	23.685	16.337	3.613	15.005	14.669	16.130	12.443	22.752	12.228
	5	22.589	15.745	3.523	14.493	14.632	15.577	12.552	21.814	12.352
	20	22.348	15.646	3.516	14.419	14.613	15.486	12.581	21.601	12.385
1-2-1	0.5	25.197	17.390	3.843	15.972	14.819	17.130	12.496	24.043	12.270
	5	22.877	15.866	3.532	14.588	14.637	15.688	12.503	22.062	12.298
	20	22.622	15.759	3.525	14.503	14.633	15.589	12.548	21.843	12.347
1-8-1	0.5	27.025	18.761	4.166	17.247	15.066	18.437	12.648	25.592	12.414
	5	22.364	15.631	3.505	14.397	14.606	15.468	12.560	21.611	12.363
	20	21.505	15.171	3.431	14.012	14.456	15.032	12.535	20.841	12.348